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Conservation laws and late-time tails of waves on black holes

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If you have a question about this talk, please contact Michalis Agathos.

In 1972, Price suggested that polynomial tails should be present in the late-time behaviour of scalar fields on Schwarzschild black holes. In the decades since, many features of these tails have been explored both numerically and heuristically in more general settings. The presence of polynomial tails along event horizons has important implications for the nature of singularities inside dynamical black holes. In this talk I will discuss recent work in collaboration with Y. Angelopoulos and S. Aretakis that establishes rigorously the existence of these polynomial late-time tails. I will moreover describe how late-time tails are connected to the existence of conservation laws for scalar fields in asymptotically flat spacetimes.

This talk is part of the DAMTP Friday GR Seminar series.

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